I was once a member of a message board which had a subforum dedicated to discussion of issues. There was a huge debate at one point about whether it should be made against the rules to quote parts of people's posts and respond to those parts individually (what was called "line-by-lining"), rather than having all the text of the post you're replying to in one quote box at the start of the post, and then replying to the whole post as one. The result of the debate was that it was impractical to make it against the rules, but that it would be frowned upon and considered rude. This was because, as you say, addressing individual points was considered not to be looking at the big picture or the concept.
The funniest thing, though, was seeing these people who didn't like to have their ideas challenged or to engage in debate try to engage in that particular debate without breaking their own rules for what they thought was acceptable. There was, for example, one poster who replied to a post of mine by quoting the whole thing and inserting bolded numbers next to each point they wanted to address and then listing their answers under the quote box. I pointed out that what they were doing was identical to cutting a post up into smaller quotes and replying to each point individually and only the formatting was different. And, in fact, that their choice of formatting wasn't as good because it meant that anybody reading the post had to keep scrolling up and down in order to read the whole thing in order and in context, rather than having the text that's being replied to immediately preceding the reply. They abandoned the thread.
I can't ever understand a mentality like that. Having your ideas challenged is a good thing. If you can defend your ideas, then that's good. If you can't, then you've learnt that you shouldn't be as sure of them as you previously were, and you should re-examine them. This is also good. And, in order to have a meaningful discussion about complex and lengthy things, you often need to take it one step at a time. Not in a Jabba-like way (as even Jabba found when we tried it), but just giving each point the space and attention it deserves.